Algebra Worksheet
ADVERTISEMENT
1
2Chapter 2 Study Guide
Name: __________________________ Date: ________
****** THIS IS NOT HOMEWORK*******
Lesson 2.1—
.
Describe the graph of the function and identify the vertex. Identify any x-intercepts
2
2
1. �� ( �� ) = ( �� − 4 )
2. �� ( �� ) = 3��
− 4
− 12�� + 11
Lesson 2.1—
Write the standard form of the function that has the indicated vertex and passes through the point.
3. Vertex: (2,3) Point: (0,2)
4. Vertex: (1, −4) Point: (2, −3)
Lesson 2.2—
State the constant, degree, leading coefficient, and number of terms. Describe the end behavior.
3
4
3
2
5. �� ( �� ) = −4��
6. �� ( �� ) = �� ( �� − 5 )
− 8�� + 21
(�� + 3)
(�� − 1)
Lesson 2.2—
��
��
��
Use the function, �� ( �� ) = −�� ( �� + �� )
(�� − ��)
(�� + ��)
to answer the following.
7. State the degree and leading coefficient
8. Determine the real zeros.
9. State the multiplicity of each zero.
10. Graph the x-intercept points and sketch the polynomial graph
Lesson 2.2—
��
��
Use the function, �� ( �� ) = ��
− ��
− ���� + �� to answer the following.
11. State the degree and leading coefficient
12. Determine the real zeros.
13. State the multiplicity of each zero.
14. Graph the x-intercept points and sketch the polynomial graph
Lesson 2.3—
.
Dividing using Long Division or Synthetic Division
5
3
2
15. ( 2��
+ 11�� + 12 ) ÷ ( �� + 2 )
− 15��
− 9��
4
3
2
16. ( ��
− ��
− 19��
− 3�� − 19 ) ÷ ( �� − 5 )
4
3
2
17. (10��
− 4��
+ 14��
− 14�� − 16) ÷ (2�� − 2)
5
4
3
2
18. ( 9��
+ �� − 11 ) ÷ ( 3�� − 5 )
− 9��
− ��
− 12��
4
3
2
19. ( 16��
+ 4��
+ 2��
− 13�� + 7 ) ÷ ( 4�� − 1 )
5
4
3
2
20. (6��
+ 21��
− 14��
− 8��
+ �� − 6) ÷ (�� + 4)
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education